Finding the Third Proportional to 20,216 and 35,626

Step by Step Solution

1. Step 1: Write the proportion equation
   20,216 : 35,626 = 35,626 : x
2. Step 2: Convert to fraction form
   20,216/35,626 = 35,626/x
3. Step 3: Cross multiply
   20,216x = 35,626 × 35,626
4. Step 4: Simplify right side
   20,216x = 1,269,211,876
5. Step 5: Solve for x
   x = 1,269,211,876/20,216
6. Step 6: Final answer
   x = 62,782.54